Constantin, Olivia (2010) A joint similarity problem for n -tuples of operators on vector-valued Bergman spaces. Journal of Functional Analysis, 258 (8). pp. 2682-2694. ISSN 0022-1236. (doi:10.1016/j.jfa.2009.10.012) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:31285)
| The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
| Official URL: http://dx.doi.org/10.1016/j.jfa.2009.10.012 |
Abstract
We investigate n-tuples of commuting Foias–Williams/Peller type operators acting on vector-valued weighted Bergman spaces. We prove that a commuting n-tuple of such operators is jointly (completely) polynomially bounded if and only if it is similar to an n-tuple of contractions, if and only if each of the n operators is polynomially bounded.
| Item Type: | Article |
|---|---|
| DOI/Identification number: | 10.1016/j.jfa.2009.10.012 |
| Uncontrolled keywords: | Hankel operators; Joint polynomial boundedness; Joint similarity to an n-tuple of contractions; Vector-valued Bergman spaces |
| Subjects: | Q Science > QA Mathematics (inc Computing science) |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | Olivia Constantin |
| Date Deposited: | 05 Oct 2012 10:49 UTC |
| Last Modified: | 16 Nov 2021 10:09 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/31285 (The current URI for this page, for reference purposes) |
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